[1] Rajchel defended his doctoral thesis Geological structure of the San Valley in the Dynów-Dubiecko area (Polish: Budowa geologiczna doliny Sanu w rejonie Dynów–Dubiecko) and was awarded with the AGH rector's prize, in 1978.
He acquired his habilitation on the basis of the monograph Lithostratigraphy of sediments of the upper Palecene and Eocene of the Skole Unit (Polish: Litostratygrafia osadów górnego palecenu i eocenu jednostki skolskiej) in 1991.
He received his professorial nomination on 29 January 2008 and worked at the Faculty of Geology, Geophysics and Environmental Protection of the AGH University of Krakow [pl].
[3] Rajchel conducted stratigraphic work on Spitsbergen, the largest and the only permanently populated island of the Svalbard archipelago in northern Norway.
Geological point of view') described the use of rock resources in Kraków in extensive detail, revealing the city's potential advantages in geotourism.